Search a number
-
+
422229037568 = 29132474
BaseRepresentation
bin1100010010011101100…
…11111101001000000000
31111100211212102110221112
412021032303331020000
523404211113200233
6521545213342452
742335141413502
oct6111663751000
91440755373845
10422229037568
11153080314328
12699b7797a28
1330a7ba73500
1416616523d72
15aeb31ba048
hex624ecfd200

422229037568 has 150 divisors (see below), whose sum is σ = 933379331049. Its totient is φ = 190728665088.

The previous prime is 422229037567. The next prime is 422229037597. The reversal of 422229037568 is 865730922224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 361018319104 + 61210718464 = 600848^2 + 247408^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=459472.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (422229037567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8983596521 + ... + 8983596567.

Almost surely, 2422229037568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422229037568

422229037568 is an abundant number, since it is smaller than the sum of its proper divisors (511150293481).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422229037568 is an frugal number, since it uses more digits than its factorization.

422229037568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

Multiplying 422229037568 by its sum of digits (50), we get a square (21111451878400 = 45947202).

The spelling of 422229037568 in words is "four hundred twenty-two billion, two hundred twenty-nine million, thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 169 188 208 256 338 376 416 512 611 676 752 832 1222 1352 1504 1664 2209 2444 2704 3008 3328 4418 4888 5408 6016 6656 7943 8836 9776 10816 12032 15886 17672 19552 21632 24064 28717 31772 35344 39104 43264 57434 63544 70688 78208 86528 103823 114868 127088 141376 156416 207646 229736 254176 282752 312832 373321 415292 459472 508352 565504 746642 830584 918944 1016704 1131008 1349699 1493284 1661168 1837888 2033408 2699398 2986568 3322336 3675776 4066816 4879681 5398796 5973136 6644672 7351552 9759362 10797592 11946272 13289344 14703104 17546087 19518724 21595184 23892544 26578688 35092174 39037448 43190368 47785088 53157376 63435853 70184348 78074896 86380736 95570176 126871706 140368696 156149792 172761472 191140352 253743412 280737392 312299584 345522944 507486824 561474784 624599168 691045888 824666089 1014973648 1122949568 1249198336 1649332178 2029947296 2245899136 2498396672 3298664356 4059894592 4491798272 6597328712 8119789184 8983596544 13194657424 16239578368 26389314848 32479156736 52778629696 105557259392 211114518784 422229037568